What's his name? I still know a few people there.
Brent
On 2/16/2025 6:07 PM, Alan Grayson wrote:
On Sunday, February 16, 2025 at 3:33:29 PM UTC-7 Alan Grayson wrote:
I got into a fairly heated argument with a Ph'D in physics from
Brent's alma mater, the University of Texas at Austin, concerning
the construction of the tangent vector space in GR. For this and
other reasons we are no longer in communication. He insisted on
including particle paths of all velocities passing through a point
P on the spacetime manifold, aiming to construct the tangent
vector space at P. I objected since this would violate one of the
basic postulates of GR, which preclude particles assumed to be
exceeding light speed. I was berated for making such a criticism.
Initially I thought these faster than light speed particles were
needed to form a *vector space*, in order to satisfy the linear
additive property of a vector space under the field of real
numbers. But suppose these vectors are constrained to be added
relativistically, so no pair when added, can exceed light speed.
Will this be sufficient to satisfy the linear additive property of
vectors in a vector space, without violating the postulate of GR
precluding faster than light speed particles? TY, AG
Since the LT is linear, I think it will work to restrict the
velocities on the tangent space to less than light speed. I'm puzzled
why the physics guru from the U of Tx adamently objected to my
criticism and implied simple fix for his obvious error. AG
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